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A new generalization of Young type inequality and applications

Year 2022, Volume: 51 Issue: 5, 1371 - 1378, 01.10.2022
https://doi.org/10.15672/hujms.973596

Abstract

In this paper, we give refinements of the classical Young inequality for scalars and we use these refinements to establish refined some Young type inequalities for the trace, determinants, and norms of positive definite matrices.

References

  • [1] M.A. Ighachane and M. Akkouchi, A New Generalization of Two Refined Young Inequalities and Applications, Moroccan J. of Pure and Appl. Anal. 6(2), 155–167, 2020.
  • [2] F. Kittaneh and Y. Manasrah, Improved Young and Heinz Inequalities for Matrices, J. Math. Anal. Appl. 361(1), 262–269, 2010.
  • [3] Y. Manasrah and F. Kittaneh, A Generalization of Two Refined Young Inequalities, Positivity, 19, 757–768, 2015.
  • [4] H. Omar and F. Kittaneh, Matrix Young Inequalities for the Hilbert Schmidt Norm, Linear Algebra Appl. 308, 77–84, 2000.
Year 2022, Volume: 51 Issue: 5, 1371 - 1378, 01.10.2022
https://doi.org/10.15672/hujms.973596

Abstract

References

  • [1] M.A. Ighachane and M. Akkouchi, A New Generalization of Two Refined Young Inequalities and Applications, Moroccan J. of Pure and Appl. Anal. 6(2), 155–167, 2020.
  • [2] F. Kittaneh and Y. Manasrah, Improved Young and Heinz Inequalities for Matrices, J. Math. Anal. Appl. 361(1), 262–269, 2010.
  • [3] Y. Manasrah and F. Kittaneh, A Generalization of Two Refined Young Inequalities, Positivity, 19, 757–768, 2015.
  • [4] H. Omar and F. Kittaneh, Matrix Young Inequalities for the Hilbert Schmidt Norm, Linear Algebra Appl. 308, 77–84, 2000.
There are 4 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Mathematics
Authors

Mohammad Rashid 0000-0002-3816-5287

Najwa Snaid 0000-0002-8727-9643

Publication Date October 1, 2022
Published in Issue Year 2022 Volume: 51 Issue: 5

Cite

APA Rashid, M., & Snaid, N. (2022). A new generalization of Young type inequality and applications. Hacettepe Journal of Mathematics and Statistics, 51(5), 1371-1378. https://doi.org/10.15672/hujms.973596
AMA Rashid M, Snaid N. A new generalization of Young type inequality and applications. Hacettepe Journal of Mathematics and Statistics. October 2022;51(5):1371-1378. doi:10.15672/hujms.973596
Chicago Rashid, Mohammad, and Najwa Snaid. “A New Generalization of Young Type Inequality and Applications”. Hacettepe Journal of Mathematics and Statistics 51, no. 5 (October 2022): 1371-78. https://doi.org/10.15672/hujms.973596.
EndNote Rashid M, Snaid N (October 1, 2022) A new generalization of Young type inequality and applications. Hacettepe Journal of Mathematics and Statistics 51 5 1371–1378.
IEEE M. Rashid and N. Snaid, “A new generalization of Young type inequality and applications”, Hacettepe Journal of Mathematics and Statistics, vol. 51, no. 5, pp. 1371–1378, 2022, doi: 10.15672/hujms.973596.
ISNAD Rashid, Mohammad - Snaid, Najwa. “A New Generalization of Young Type Inequality and Applications”. Hacettepe Journal of Mathematics and Statistics 51/5 (October 2022), 1371-1378. https://doi.org/10.15672/hujms.973596.
JAMA Rashid M, Snaid N. A new generalization of Young type inequality and applications. Hacettepe Journal of Mathematics and Statistics. 2022;51:1371–1378.
MLA Rashid, Mohammad and Najwa Snaid. “A New Generalization of Young Type Inequality and Applications”. Hacettepe Journal of Mathematics and Statistics, vol. 51, no. 5, 2022, pp. 1371-8, doi:10.15672/hujms.973596.
Vancouver Rashid M, Snaid N. A new generalization of Young type inequality and applications. Hacettepe Journal of Mathematics and Statistics. 2022;51(5):1371-8.